Advertisements
Advertisements
Question
In the equation `ax^2+bx+c=0` it is given that `D=(b^2-4ac)>0`
equation are
(a) real and equal (b) real and unequal (c) imaginary (d) none of these
Solution
We know that when discriminant, D > 0, the roots of the given quadratic equation are real and unequal.
APPEARS IN
RELATED QUESTIONS
If x=3 is a solution of the equation `3x^2+(k-1)x+9=0` then k=?
(a) 11 (b)-11 (c)13 (d)-13
The roots of a quadratic equation are 5 and -2. Then, the equation is
(a)`x^2-3x+10=0` (b)`x^2-3x-10=0` (c)x^2+3x-10=0 (d)`x^2+3x+10=0`
If the sum of the roots of a quadratic equation is 6 and their product is 6, the equation is
(a)`x^2-6x+6=0` (b)` x^2+6x+6=0` (c)`x^2-6x-6=0` (d)`x^2+6x+6=0`
If α and β are the roots of the equation `3x^2+8x+2=0` then (1/α+1/β)=?
(a)` -3/8` (b) `2/3` `(c) -4 (d)4`
If the roots of the equation` ax^2+bx+c=0` are equal then c=?
(a)`b/(2a)` (b) `b/(2a)` (c) `-b^2/(4a)` (d) `B^2/(4a)`
If 1 is a root of the equation `ay^2+ay+3=0` and `y^2+y+b=0` then find the value of ab.
Find the value of k for which the quadratic equation `9x^2-3kx+k=0` has equal roots.
Write the following equation in the form ax2 + bx + c= 0, then write the values of a, b, c for the equation.
x2 + 5x = –(3 – x)
If P(y) = y² - 2y + 5, find P(2) .
If 460 is divided by a natural number, then quotient is 2 more than nine times the divisor and remainder is 5. Find the quotient and divisor.
